1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ipatiy [6.2K]
3 years ago
13

The coordinate of point T are (3,-11). The midpoint of line ST is (3,-9). Find the coordinates of point S

Mathematics
1 answer:
svetlana [45]3 years ago
5 0

Answer:

(3,-7)

Step-by-step explanation:

Midpoint Formula

(3,-9) = ((3+x)/2 , (-11+x)/2)

Solve for x coordinate

3 =  \frac{3 + x}{2}  \\ 6 = 3 + x \\ 3 = x

Solve for y coordinate

- 9 =  \frac{ - 11 + x}{2}  \\  - 18 =  - 11 + x \\  - 7 = y

Therefore point s is (3, -7)

You might be interested in
Mark walked 1212 miles in 5 hours. How many miles did Mark walk in 1 hour?
JulijaS [17]

Answer:

Step-by-step explanation:

5 0
3 years ago
(PLEASE HELP) The histogram shows the number of hours that 25 college students spent studying for their final exams. Which state
Semmy [17]

The statement on the bottom left is correct. (6 students studied for 20 to 24 hours)

6 0
3 years ago
Read 2 more answers
MA = 8x – 2, mB = 2x – 8, and mC = 94 – 4x. List the sides of ABC in order from shortest to longest.
LUCKY_DIMON [66]
I hope this helps you

3 0
2 years ago
I have these factoring questions I need help with.
snow_lady [41]

f(x)=4x^2+4x-3

1. Determine y-intercept.

<em>The y-intercept is (0,-3). Substitute x = 0 in the equation as we get f(x) = -3 as the y-intercept.</em>

2. Determine the zeros.

<em>Factor the polynomials first. </em>(2x-1)(2x+3) <em>This is the factored form. The zeros are the roots of equation. Therefore, the zeros are 1/2 and -3/2</em>

3. Determine the Axis of Symmetry

<em>We can solve this by using the formula of </em>x=-\frac{b}{2a}  <em>However, I'll be solving the Axis of Symmetry with Calculus instead.</em>

<em />f'(x)=2(4x^{2-1})+1(4x^{1-1})-0\\f'(x)=8x+4<em />

<em>Then let f'(x) = 0 to find the Axis of Symmetry.</em>

<em />8x+4=0\\8x=-4\\x=-\frac{4}{8}\\x=-\frac{1}{2}<em />

<em>Therefore, the Axis of Symmetry is -1/2</em>

4. Determine the vertex.

<em>Substitute the value of Axis of Symmetry in f(x).</em>

<em />f(x)=4(-\frac{1}{2})^2+4(-\frac{1}{2})-3\\f(x)=4(\frac{1}{4})-2-3\\f(x)=1-2-3\\f(x)=-4<em />

<em>Therefore the vertex is at (-1/2, -4)</em>

5. Does the vertex representing max-pont or min-point?

<em>The vertex represents the minimum point. The graph is upward, meaning the minimum point is the point that gives the LOWEST Y-VALUE. </em>

7. Graph f(x)

<em>Unfortunately I won't be able to graph. But I can tell you to graph a parabola that has the most curve at the vertex and intercepts y-axis at (0,-3).</em>

<em>--------------------------- </em>End of Part 1 --------------------------------

2. Write the general form of Quadratic Function in standard form.

y=ax^2+bx+c

<em>The graph can be easily determined about the y-intercept and being an upward or downward parabola along with how narrow or wide the parabola is. </em>

<em>For example, c value is the y-intercept as defined. When a > 0, the parabola is upward and when a < 0, the parabola is downward. The more value of | a | is, the more narrow it will be and the less value of | a | it is, the wider it will be.</em>

3. Write in Factored Form

y=(x+a)(x+b)\\y=(x-a)(x-b)\\y=(x+a)(x-b)\\y=(x-a)(x+b)

<em>These are factored forms with different types of operators.</em>

<em>The equation can be easily determined about the roots of equation. For example, if the function is in f(x) = (x+2)(x-1) Then the roots would be x = -2 and 1 as the graph will intercept x-axis at (-2,0) and (1,0)</em>

4. Write in Vertex Form.

y=a(x-h)^2+k

<em>The equation can be easily determined for the vertex, axis of symmetry and the same narrow/wide/upward/downward parabola again.</em>

<em>The vertex is at (h,k) and the axis of symmetry is at x = h.</em>

<em>For example, </em>y=(x-2)^2+3<em />

<em>The vertex would be at (2,3) and the axis of symmetry is x = 2.</em>

3 0
3 years ago
i just need number 3. my homework is due today and nobody else IRL will help me. please, please, please help me idk what else to
vodomira [7]
Start your line at y=15 and for every number on x go up one square
8 0
3 years ago
Other questions:
  • A diagonal of a parallelogram measures 37 inches. The sides measure 35 and 1 foot. Is the parallelogram a rectangle? Explain you
    9·1 answer
  • Is 2x + y= -1 in standard form
    15·1 answer
  • What os the slope of a line that is perpendicular to the line shown
    8·1 answer
  • on july 4 180 people hiked on the trail. of these 1/3 camped overnight. how many of the hikers dis not camp overnight
    14·1 answer
  • Suppose that the time students wait for a bus can be described by a uniform random variable X, where X is between 5 minutes and
    5·1 answer
  • What is the product of (4y-3)(2y^+3y-5)
    8·1 answer
  • The scatterplot shows the number of weekly hours that swimmers spend at an indoor pool and the average weekly outdoor temperatur
    8·2 answers
  • How do you complete it
    6·1 answer
  • Can someone do a new zoom dont ask questions
    15·2 answers
  • A man has a collection of 19 coins worth $2.55. There are twice as many nickels as dimes. If the rest are quarters, how many qua
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!